112637440 has 80 divisors (see below), whose sum is σ = 281955168. Its totient is φ = 43073536.

The previous prime is 112637429. The next prime is 112637449. The reversal of 112637440 is 44736211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112637399 and 112637408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112637449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57924 + ... + 59836.

Almost surely, 2^112637440 is an apocalyptic number.

112637440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140977584).

112637440 is an abundant number, since it is smaller than the sum of its proper divisors (169317728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112637440 is an equidigital number, since it uses as much as digits as its factorization.

112637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1959 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 112637440 is about 10613.0787239142. The cubic root of 112637440 is about 482.9412002429.

The spelling of 112637440 in words is "one hundred twelve million, six hundred thirty-seven thousand, four hundred forty".